What two numbers multiply to 448 and add up to 64?

Here we answer the question: "What two numbers multiply to 448 and add up to 64?"

The answer to your question is:

8 and 56

Below we illustrate and prove that 8 and 56 multiply to 448 and add up to 64:

8 × 56 = 448
8 + 56 = 64

Are you asking because you are trying to figure out how to factor the following quadratic equation?

x² + 64x + 448 = 0

If so, the solution to factor the quadratic equation above is:

(x + 8 ) (x + 56)

To summarize, since 8 and 56 multiply to 448 and add up 64, you know that the following is true:

x² + 64x + 448 = (x + 8 ) (x + 56)

Multiply To One Number and Add Up To Another
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